102857400 has 72 divisors (see below), whose sum is σ = 345435480. Its totient is φ = 27428160.

The previous prime is 102857399. The next prime is 102857437. The reversal of 102857400 is 4758201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26772 + ... + 30371.

It is an arithmetic number, because the mean of its divisors is an integer number (4797715).

Almost surely, 2^102857400 is an apocalyptic number.

102857400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102857400 is an abundant number, since it is smaller than the sum of its proper divisors (242578080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102857400 is a wasteful number, since it uses less digits than its factorization.

102857400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57165 (or 57153 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 102857400 is about 10141.8637340481. The cubic root of 102857400 is about 468.5383898195.

The spelling of 102857400 in words is "one hundred two million, eight hundred fifty-seven thousand, four hundred".